{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# 反向传播算法\n",
    "\n",
    "## 激活函数导数\n",
    "\n",
    "### Sigmoid函数导数\n",
    "\n",
    "Sigmoid函数表达式：$$\\sigma(x) = \\frac{1}{1 + e^{-x}}$$\n",
    "Sigmoid函数的导数表达式：$$\\frac{d}{dx} \\sigma(x) = \\sigma(1-\\sigma)$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 导入 numpy 库\n",
    "import numpy as np \n",
    "from matplotlib import pyplot as plt\n",
    "plt.rcParams['font.size'] = 16\n",
    "plt.rcParams['font.family'] = ['STKaiti']\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "\n",
    "def set_plt_ax():\n",
    "    # get current axis 获得坐标轴对象\n",
    "    ax = plt.gca()                                           \n",
    "\n",
    "    ax.spines['right'].set_color('none') \n",
    "    # 将右边 上边的两条边颜色设置为空 其实就相当于抹掉这两条边\n",
    "    ax.spines['top'].set_color('none')         \n",
    "\n",
    "    ax.xaxis.set_ticks_position('bottom')   \n",
    "    # 指定下边的边作为 x 轴，指定左边的边为 y 轴\n",
    "    ax.yaxis.set_ticks_position('left') \n",
    "\n",
    "    # 指定 data  设置的bottom(也就是指定的x轴)绑定到y轴的0这个点上\n",
    "    ax.spines['bottom'].set_position(('data', 0)) \n",
    "    ax.spines['left'].set_position(('data', 0))\n",
    "\n",
    "def sigmoid(x): \n",
    "    # 实现 sigmoid 函数\n",
    "    return 1 / (1 + np.exp(-x))\n",
    "\n",
    "def sigmoid_derivative(x): \n",
    "    # sigmoid 导数的计算\n",
    "    # sigmoid 函数的表达式由手动推导而得\n",
    "    return sigmoid(x)*(1-sigmoid(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(-6.0, 6.0, 0.1)\n",
    "sigmoid_y = sigmoid(x)\n",
    "sigmoid_derivative_y = sigmoid_derivative(x)\n",
    "\n",
    "set_plt_ax()\n",
    "plt.plot(x, sigmoid_y, color='C9', label='Sigmoid')\n",
    "plt.plot(x, sigmoid_derivative_y, color='C4', label='导数')\n",
    "plt.xlim(-6, 6)\n",
    "plt.ylim(0, 1)\n",
    "plt.legend(loc=2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ReLU 函数导数\n",
    "ReLU 函数的表达式：$$\\text{ReLU}(x)=\\max(0,x)$$\n",
    "ReLU 函数的导数表达式：$$\\frac{d}{dx} \\text{ReLU} = \\left \\{ \n",
    "\\begin{array}{cc} \n",
    "1 \\quad x \\geqslant 0 \\\\\n",
    "0 \\quad x < 0\n",
    "\\end{array} \\right.$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def relu(x):\n",
    "    return np.maximum(0, x)\n",
    "\n",
    "def relu_derivative(x): # ReLU 函数的导数\n",
    "    d = np.array(x, copy=True) # 用于保存梯度的张量\n",
    "    d[x < 0] = 0 # 元素为负的导数为 0\n",
    "    d[x >= 0] = 1 # 元素为正的导数为 1\n",
    "    return d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(-6.0, 6.0, 0.1)\n",
    "relu_y = relu(x)\n",
    "relu_derivative_y = relu_derivative(x)\n",
    "\n",
    "set_plt_ax()\n",
    "plt.plot(x, relu_y, color='C9', label='ReLU')\n",
    "plt.plot(x, relu_derivative_y, color='C4', label='导数')\n",
    "plt.xlim(-6, 6)\n",
    "plt.ylim(0, 6)\n",
    "plt.legend(loc=2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### LeakyReLU函数导数\n",
    "\n",
    "LeakyReLU 函数的表达式：$$\\text{LeakyReLU} = \\left\\{ \\begin{array}{cc}\n",
    "x \\quad x \\geqslant 0 \\\\\n",
    "px \\quad x < 0\n",
    "\\end{array} \\right.$$\n",
    "\n",
    "LeakyReLU的函数导数表达式：$$\\frac{d}{dx} \\text{LeakyReLU} = \\left\\{ \\begin{array}{cc}\n",
    "1 \\quad x \\geqslant 0 \\\\\n",
    "p \\quad x < 0\n",
    "\\end{array} \\right.$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def leakyrelu(x, p):\n",
    "    y = np.copy(x)\n",
    "    y[y < 0] = p * y[y < 0]\n",
    "    return y\n",
    "\n",
    "# 其中 p 为 LeakyReLU 的负半段斜率，为超参数\n",
    "def leakyrelu_derivative(x, p):\n",
    "    dx = np.ones_like(x) # 创建梯度张量，全部初始化为 1\n",
    "    dx[x < 0] = p # 元素为负的导数为 p\n",
    "    return dx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(-6.0, 6.0, 0.1)\n",
    "p = 0.1\n",
    "leakyrelu_y = leakyrelu(x, p)\n",
    "leakyrelu_derivative_y = leakyrelu_derivative(x, p)\n",
    "\n",
    "set_plt_ax()\n",
    "plt.plot(x, leakyrelu_y, color='C9', label='LeakyReLU')\n",
    "plt.plot(x, leakyrelu_derivative_y, color='C4', label='导数')\n",
    "plt.xlim(-6, 6)\n",
    "plt.yticks(np.arange(-1, 7))\n",
    "plt.legend(loc=2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Tanh 函数梯度\n",
    "\n",
    "tanh函数的表达式：$$\\tanh(x)=\\frac{e^x-e^{-x}}{e^x + e^{-x}}= 2 \\cdot \\text{sigmoid}(2x) - 1$$\n",
    "tanh函数的导数表达式：$$\n",
    "\\begin{aligned}\n",
    "\\frac{\\mathrm{d}}{\\mathrm{d} x} \\tanh (x) &=\\frac{\\left(e^{x}+e^{-x}\\right)\\left(e^{x}+e^{-x}\\right)-\\left(e^{x}-e^{-x}\\right)\\left(e^{x}-e^{-x}\\right)}{\\left(e^{x}+e^{-x}\\right)^{2}} \\\\\n",
    "&=1-\\frac{\\left(e^{x}-e^{-x}\\right)^{2}}{\\left(e^{x}+e^{-x}\\right)^{2}}=1-\\tanh ^{2}(x)\n",
    "\\end{aligned}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sigmoid(x): # sigmoid 函数实现\n",
    "    return 1 / (1 + np.exp(-x))\n",
    "def tanh(x): # tanh 函数实现\n",
    "    return 2*sigmoid(2*x) - 1\n",
    "def tanh_derivative(x): # tanh 导数实现\n",
    "    return 1-tanh(x)**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(-6.0, 6.0, 0.1)\n",
    "tanh_y = tanh(x)\n",
    "tanh_derivative_y = tanh_derivative(x)\n",
    "\n",
    "set_plt_ax()\n",
    "plt.plot(x, tanh_y, color='C9', label='Tanh')\n",
    "plt.plot(x, tanh_derivative_y, color='C4', label='导数')\n",
    "plt.xlim(-6, 6)\n",
    "plt.ylim(-1.5, 1.5)\n",
    "plt.legend(loc=2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 链式法则"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tf.Tensor(2.0, shape=(), dtype=float32)\n",
      "tf.Tensor(2.0, shape=(), dtype=float32)\n"
     ]
    }
   ],
   "source": [
    "import tensorflow as tf\n",
    "\n",
    "# 构建待优化变量\n",
    "x = tf.constant(1.)\n",
    "w1 = tf.constant(2.)\n",
    "b1 = tf.constant(1.)\n",
    "w2 = tf.constant(2.)\n",
    "b2 = tf.constant(1.)\n",
    "\n",
    "# 构建梯度记录器\n",
    "with tf.GradientTape(persistent=True) as tape:\n",
    "    # 非 tf.Variable 类型的张量需要人为设置记录梯度信息\n",
    "    tape.watch([w1, b1, w2, b2])\n",
    "    # 构建 2 层线性网络\n",
    "    y1 = x * w1 + b1\n",
    "    y2 = y1 * w2 + b2\n",
    "    \n",
    "# 独立求解出各个偏导数\n",
    "dy2_dy1 = tape.gradient(y2, [y1])[0]\n",
    "dy1_dw1 = tape.gradient(y1, [w1])[0]\n",
    "dy2_dw1 = tape.gradient(y2, [w1])[0]\n",
    "\n",
    "# 验证链式法则， 2 个输出应相等\n",
    "print(dy2_dy1 * dy1_dw1)\n",
    "print(dy2_dw1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Himmelblau 函数优化实战\n",
    "\n",
    "Himmelblau 函数是用来测试优化算法的常用样例函数之一，它包含了两个自变量$x$和$y$，数学表达式是：$$\n",
    "f(x, y)=\\left(x^{2}+y-11\\right)^{2}+\\left(x+y^{2}-7\\right)^{2}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "def himmelblau(x):\n",
    "    # himmelblau 函数实现，传入参数 x 为 2 个元素的 List\n",
    "    return (x[0] ** 2 + x[1] - 11) ** 2 + (x[0] + x[1] ** 2 - 7) ** 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x,y range: (120,) (120,)\n",
      "X,Y maps: (120, 120) (120, 120)\n"
     ]
    }
   ],
   "source": [
    "x = np.arange(-6, 6, 0.1) # 可视化的 x 坐标范围为-6~6\n",
    "y = np.arange(-6, 6, 0.1) # 可视化的 y 坐标范围为-6~6\n",
    "print('x,y range:', x.shape, y.shape)\n",
    "# 生成 x-y 平面采样网格点，方便可视化\n",
    "X, Y = np.meshgrid(x, y)\n",
    "print('X,Y maps:', X.shape, Y.shape)\n",
    "Z = himmelblau([X, Y]) # 计算网格点上的函数值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制 himmelblau 函数曲面\n",
    "fig = plt.figure('himmelblau')\n",
    "ax = fig.gca(projection='3d') # 设置 3D 坐标轴\n",
    "ax.plot_surface(X, Y, Z, cmap = plt.cm.rainbow ) # 3D 曲面图\n",
    "ax.view_init(60, -30)\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step 19: x = [ 3.5381215 -1.3465767], f(x) = 3.7151756286621094\n",
      "step 39: x = [ 3.5843277 -1.8470242], f(x) = 3.451140582910739e-05\n",
      "step 59: x = [ 3.584428  -1.8481253], f(x) = 4.547473508864641e-11\n",
      "step 79: x = [ 3.584428  -1.8481264], f(x) = 1.1368684856363775e-12\n",
      "step 99: x = [ 3.584428  -1.8481264], f(x) = 1.1368684856363775e-12\n",
      "step 119: x = [ 3.584428  -1.8481264], f(x) = 1.1368684856363775e-12\n",
      "step 139: x = [ 3.584428  -1.8481264], f(x) = 1.1368684856363775e-12\n",
      "step 159: x = [ 3.584428  -1.8481264], f(x) = 1.1368684856363775e-12\n",
      "step 179: x = [ 3.584428  -1.8481264], f(x) = 1.1368684856363775e-12\n",
      "step 199: x = [ 3.584428  -1.8481264], f(x) = 1.1368684856363775e-12\n"
     ]
    }
   ],
   "source": [
    "# 参数的初始化值对优化的影响不容忽视，可以通过尝试不同的初始化值，\n",
    "# 检验函数优化的极小值情况\n",
    "# [1., 0.], [-4, 0.], [4, 0.]\n",
    "# 初始化参数\n",
    "x = tf.constant([4., 0.]) \n",
    "\n",
    "for step in range(200):# 循环优化 200 次\n",
    "    with tf.GradientTape() as tape: #梯度跟踪\n",
    "        tape.watch([x]) # 加入梯度跟踪列表\n",
    "        y = himmelblau(x) # 前向传播\n",
    "    \n",
    "    # 反向传播\n",
    "    grads = tape.gradient(y, [x])[0]\n",
    "    # 更新参数,0.01 为学习率\n",
    "    x -= 0.01*grads\n",
    "    # 打印优化的极小值\n",
    "    if step % 20 == 19:\n",
    "        print ('step {}: x = {}, f(x) = {}'.format(step, x.numpy(), y.numpy()))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 反向传播算法实战"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "from sklearn.datasets import make_moons\n",
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "plt.rcParams['font.size'] = 16\n",
    "plt.rcParams['font.family'] = ['STKaiti']\n",
    "plt.rcParams['axes.unicode_minus'] = False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "def load_dataset():\n",
    "    # 采样点数\n",
    "    N_SAMPLES = 2000\n",
    "    # 测试数量比率\n",
    "    TEST_SIZE = 0.3\n",
    "    # 利用工具函数直接生成数据集\n",
    "    X, y = make_moons(n_samples=N_SAMPLES, noise=0.2, random_state=100)\n",
    "    # 将 2000 个点按着 7:3 分割为训练集和测试集\n",
    "    X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=TEST_SIZE, random_state=42)\n",
    "    return X, y, X_train, X_test, y_train, y_test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_plot(X, y, plot_name, XX=None, YY=None, preds=None, dark=False):\n",
    "    # 绘制数据集的分布， X 为 2D 坐标， y 为数据点的标签\n",
    "    if (dark):\n",
    "        plt.style.use('dark_background')\n",
    "    else:\n",
    "        sns.set_style(\"whitegrid\")\n",
    "    plt.figure(figsize=(16, 12))\n",
    "    axes = plt.gca()\n",
    "    axes.set(xlabel=\"$x_1$\", ylabel=\"$x_2$\")\n",
    "    plt.title(plot_name, fontsize=30)\n",
    "    plt.subplots_adjust(left=0.20)\n",
    "    plt.subplots_adjust(right=0.80)\n",
    "    if XX is not None and YY is not None and preds is not None:\n",
    "        plt.contourf(XX, YY, preds.reshape(XX.shape), 25, alpha=1, cmap=plt.cm.Spectral)\n",
    "        plt.contour(XX, YY, preds.reshape(XX.shape), levels=[.5], cmap=\"Greys\", vmin=0, vmax=.6)\n",
    "    # 绘制散点图，根据标签区分颜色\n",
    "    plt.scatter(X[:, 0], X[:, 1], c=y.ravel(), s=40, cmap=plt.cm.Spectral, edgecolors='none')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x864 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y, X_train, X_test, y_train, y_test = load_dataset()\n",
    "# 调用 make_plot 函数绘制数据的分布，其中 X 为 2D 坐标， y 为标签\n",
    "make_plot(X, y, \"Classification Dataset Visualization \")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Layer:\n",
    "    # 全连接网络层\n",
    "    def __init__(self, n_input, n_neurons, activation=None, weights=None,\n",
    "                 bias=None):\n",
    "        \"\"\"\n",
    "        :param int n_input: 输入节点数\n",
    "        :param int n_neurons: 输出节点数\n",
    "        :param str activation: 激活函数类型\n",
    "        :param weights: 权值张量，默认类内部生成\n",
    "        :param bias: 偏置，默认类内部生成\n",
    "        \"\"\"\n",
    "        # 通过正态分布初始化网络权值，初始化非常重要，不合适的初始化将导致网络不收敛\n",
    "        self.weights = weights if weights is not None else np.random.randn(n_input, n_neurons) * np.sqrt(1 / n_neurons)\n",
    "        self.bias = bias if bias is not None else np.random.rand(n_neurons) * 0.1\n",
    "        self.activation = activation  # 激活函数类型，如’sigmoid’\n",
    "        self.last_activation = None  # 激活函数的输出值o\n",
    "        self.error = None  # 用于计算当前层的delta 变量的中间变量\n",
    "        self.delta = None  # 记录当前层的delta 变量，用于计算梯度\n",
    "\n",
    "    # 网络层的前向传播函数实现如下，其中last_activation 变量用于保存当前层的输出值：\n",
    "    def activate(self, x):\n",
    "        # 前向传播函数\n",
    "        r = np.dot(x, self.weights) + self.bias  # X@W+b\n",
    "        # 通过激活函数，得到全连接层的输出o\n",
    "        self.last_activation = self._apply_activation(r)\n",
    "        return self.last_activation\n",
    "\n",
    "    # 上述代码中的self._apply_activation 函数实现了不同类型的激活函数的前向计算过程，\n",
    "    # 尽管此处我们只使用Sigmoid 激活函数一种。代码如下：\n",
    "    def _apply_activation(self, r):\n",
    "        # 计算激活函数的输出\n",
    "        if self.activation is None:\n",
    "            return r  # 无激活函数，直接返回\n",
    "        # ReLU 激活函数\n",
    "        elif self.activation == 'relu':\n",
    "            return np.maximum(r, 0)\n",
    "        # tanh 激活函数\n",
    "        elif self.activation == 'tanh':\n",
    "            return np.tanh(r)\n",
    "        # sigmoid 激活函数\n",
    "        elif self.activation == 'sigmoid':\n",
    "            return 1 / (1 + np.exp(-r))\n",
    "        return r\n",
    "\n",
    "    # 针对于不同类型的激活函数，它们的导数计算实现如下：\n",
    "    def apply_activation_derivative(self, r):\n",
    "        # 计算激活函数的导数\n",
    "        # 无激活函数，导数为1\n",
    "        if self.activation is None:\n",
    "            return np.ones_like(r)\n",
    "        # ReLU 函数的导数实现\n",
    "        elif self.activation == 'relu':\n",
    "            grad = np.array(r, copy=True)\n",
    "            grad[r > 0] = 1.\n",
    "            grad[r <= 0] = 0.\n",
    "            return grad\n",
    "        # tanh 函数的导数实现\n",
    "        elif self.activation == 'tanh':\n",
    "            return 1 - r ** 2\n",
    "        # Sigmoid 函数的导数实现\n",
    "        elif self.activation == 'sigmoid':\n",
    "            return r * (1 - r)\n",
    "        return r"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 神经网络模型\n",
    "class NeuralNetwork:\n",
    "    def __init__(self):\n",
    "        self._layers = []  # 网络层对象列表\n",
    "\n",
    "    def add_layer(self, layer):\n",
    "        # 追加网络层\n",
    "        self._layers.append(layer)\n",
    "\n",
    "    # 网络的前向传播只需要循环调各个网络层对象的前向计算函数即可，代码如下：\n",
    "    # 前向传播\n",
    "    def feed_forward(self, X):\n",
    "        for layer in self._layers:\n",
    "            # 依次通过各个网络层\n",
    "            X = layer.activate(X)\n",
    "        return X\n",
    "\n",
    "    def backpropagation(self, X, y, learning_rate):\n",
    "        # 反向传播算法实现\n",
    "        # 前向计算，得到输出值\n",
    "        output = self.feed_forward(X)\n",
    "        for i in reversed(range(len(self._layers))):  # 反向循环\n",
    "            layer = self._layers[i]  # 得到当前层对象\n",
    "            # 如果是输出层\n",
    "            if layer == self._layers[-1]:  # 对于输出层\n",
    "                layer.error = y - output  # 计算2 分类任务的均方差的导数\n",
    "                # 关键步骤：计算最后一层的delta，参考输出层的梯度公式\n",
    "                layer.delta = layer.error * layer.apply_activation_derivative(output)\n",
    "            else:  # 如果是隐藏层\n",
    "                next_layer = self._layers[i + 1]  # 得到下一层对象\n",
    "                layer.error = np.dot(next_layer.weights, next_layer.delta)\n",
    "                # 关键步骤：计算隐藏层的delta，参考隐藏层的梯度公式\n",
    "                layer.delta = layer.error * layer.apply_activation_derivative(layer.last_activation)\n",
    "\n",
    "        # 循环更新权值\n",
    "        for i in range(len(self._layers)):\n",
    "            layer = self._layers[i]\n",
    "            # o_i 为上一网络层的输出\n",
    "            o_i = np.atleast_2d(X if i == 0 else self._layers[i - 1].last_activation)\n",
    "            # 梯度下降算法，delta 是公式中的负数，故这里用加号\n",
    "            layer.weights += layer.delta * o_i.T * learning_rate\n",
    "\n",
    "    def train(self, X_train, X_test, y_train, y_test, learning_rate, max_epochs):\n",
    "        # 网络训练函数\n",
    "        # one-hot 编码\n",
    "        y_onehot = np.zeros((y_train.shape[0], 2))\n",
    "        y_onehot[np.arange(y_train.shape[0]), y_train] = 1\n",
    "\n",
    "        # 将One-hot 编码后的真实标签与网络的输出计算均方误差，并调用反向传播函数更新网络参数，循环迭代训练集1000 遍即可\n",
    "        mses = []\n",
    "        accuracys = []\n",
    "        for i in range(max_epochs + 1):  # 训练1000 个epoch\n",
    "            for j in range(len(X_train)):  # 一次训练一个样本\n",
    "                self.backpropagation(X_train[j], y_onehot[j], learning_rate)\n",
    "            if i % 10 == 0:\n",
    "                # 打印出MSE Loss\n",
    "                mse = np.mean(np.square(y_onehot - self.feed_forward(X_train)))\n",
    "                mses.append(mse)\n",
    "                accuracy = self.accuracy(self.predict(X_test), y_test.flatten())\n",
    "                accuracys.append(accuracy)\n",
    "                print('Epoch: #%s, MSE: %f' % (i, float(mse)))\n",
    "                # 统计并打印准确率\n",
    "                print('Accuracy: %.2f%%' % (accuracy * 100))\n",
    "        return mses, accuracys\n",
    "\n",
    "    def predict(self, X):\n",
    "        return self.feed_forward(X)\n",
    "\n",
    "    def accuracy(self, X, y):\n",
    "        return np.sum(np.equal(np.argmax(X, axis=1), y)) / y.shape[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: #0, MSE: 0.249217\n",
      "Accuracy: 49.50%\n",
      "Epoch: #10, MSE: 0.188859\n",
      "Accuracy: 82.50%\n",
      "Epoch: #20, MSE: 0.101680\n",
      "Accuracy: 87.00%\n",
      "Epoch: #30, MSE: 0.096641\n",
      "Accuracy: 88.33%\n",
      "Epoch: #40, MSE: 0.096359\n",
      "Accuracy: 89.17%\n",
      "Epoch: #50, MSE: 0.096322\n",
      "Accuracy: 89.17%\n",
      "Epoch: #60, MSE: 0.096303\n",
      "Accuracy: 89.17%\n",
      "Epoch: #70, MSE: 0.096286\n",
      "Accuracy: 89.17%\n",
      "Epoch: #80, MSE: 0.096270\n",
      "Accuracy: 89.17%\n",
      "Epoch: #90, MSE: 0.096256\n",
      "Accuracy: 89.00%\n",
      "Epoch: #100, MSE: 0.096243\n",
      "Accuracy: 89.00%\n",
      "Epoch: #110, MSE: 0.096231\n",
      "Accuracy: 89.00%\n",
      "Epoch: #120, MSE: 0.096219\n",
      "Accuracy: 88.83%\n",
      "Epoch: #130, MSE: 0.096207\n",
      "Accuracy: 88.83%\n",
      "Epoch: #140, MSE: 0.096195\n",
      "Accuracy: 88.83%\n",
      "Epoch: #150, MSE: 0.096183\n",
      "Accuracy: 88.83%\n",
      "Epoch: #160, MSE: 0.096172\n",
      "Accuracy: 88.83%\n",
      "Epoch: #170, MSE: 0.096160\n",
      "Accuracy: 88.83%\n",
      "Epoch: #180, MSE: 0.096148\n",
      "Accuracy: 88.83%\n",
      "Epoch: #190, MSE: 0.096136\n",
      "Accuracy: 88.83%\n",
      "Epoch: #200, MSE: 0.096125\n",
      "Accuracy: 88.83%\n",
      "Epoch: #210, MSE: 0.096113\n",
      "Accuracy: 88.83%\n",
      "Epoch: #220, MSE: 0.096101\n",
      "Accuracy: 88.67%\n",
      "Epoch: #230, MSE: 0.096090\n",
      "Accuracy: 88.67%\n",
      "Epoch: #240, MSE: 0.096078\n",
      "Accuracy: 88.67%\n",
      "Epoch: #250, MSE: 0.096066\n",
      "Accuracy: 88.67%\n",
      "Epoch: #260, MSE: 0.096054\n",
      "Accuracy: 88.83%\n",
      "Epoch: #270, MSE: 0.096042\n",
      "Accuracy: 88.83%\n",
      "Epoch: #280, MSE: 0.096029\n",
      "Accuracy: 88.83%\n",
      "Epoch: #290, MSE: 0.096016\n",
      "Accuracy: 88.83%\n",
      "Epoch: #300, MSE: 0.096002\n",
      "Accuracy: 89.00%\n",
      "Epoch: #310, MSE: 0.095986\n",
      "Accuracy: 89.00%\n",
      "Epoch: #320, MSE: 0.095969\n",
      "Accuracy: 89.00%\n",
      "Epoch: #330, MSE: 0.095949\n",
      "Accuracy: 89.00%\n",
      "Epoch: #340, MSE: 0.095923\n",
      "Accuracy: 89.00%\n",
      "Epoch: #350, MSE: 0.095889\n",
      "Accuracy: 89.00%\n",
      "Epoch: #360, MSE: 0.095840\n",
      "Accuracy: 89.00%\n",
      "Epoch: #370, MSE: 0.095769\n",
      "Accuracy: 88.83%\n",
      "Epoch: #380, MSE: 0.095661\n",
      "Accuracy: 88.83%\n",
      "Epoch: #390, MSE: 0.095498\n",
      "Accuracy: 88.83%\n",
      "Epoch: #400, MSE: 0.095267\n",
      "Accuracy: 88.83%\n",
      "Epoch: #410, MSE: 0.094965\n",
      "Accuracy: 88.83%\n",
      "Epoch: #420, MSE: 0.094607\n",
      "Accuracy: 88.83%\n",
      "Epoch: #430, MSE: 0.094218\n",
      "Accuracy: 88.83%\n",
      "Epoch: #440, MSE: 0.093822\n",
      "Accuracy: 89.33%\n",
      "Epoch: #450, MSE: 0.093435\n",
      "Accuracy: 89.33%\n",
      "Epoch: #460, MSE: 0.093065\n",
      "Accuracy: 89.33%\n",
      "Epoch: #470, MSE: 0.092713\n",
      "Accuracy: 89.17%\n",
      "Epoch: #480, MSE: 0.092379\n",
      "Accuracy: 89.17%\n",
      "Epoch: #490, MSE: 0.092059\n",
      "Accuracy: 89.33%\n",
      "Epoch: #500, MSE: 0.091746\n",
      "Accuracy: 89.50%\n",
      "Epoch: #510, MSE: 0.091436\n",
      "Accuracy: 89.50%\n",
      "Epoch: #520, MSE: 0.091121\n",
      "Accuracy: 89.50%\n",
      "Epoch: #530, MSE: 0.090795\n",
      "Accuracy: 89.50%\n",
      "Epoch: #540, MSE: 0.090449\n",
      "Accuracy: 89.83%\n",
      "Epoch: #550, MSE: 0.090075\n",
      "Accuracy: 90.17%\n",
      "Epoch: #560, MSE: 0.089665\n",
      "Accuracy: 90.17%\n",
      "Epoch: #570, MSE: 0.089204\n",
      "Accuracy: 90.00%\n",
      "Epoch: #580, MSE: 0.088679\n",
      "Accuracy: 90.17%\n",
      "Epoch: #590, MSE: 0.088071\n",
      "Accuracy: 90.33%\n",
      "Epoch: #600, MSE: 0.087362\n",
      "Accuracy: 90.50%\n",
      "Epoch: #610, MSE: 0.086539\n",
      "Accuracy: 90.50%\n",
      "Epoch: #620, MSE: 0.085611\n",
      "Accuracy: 91.00%\n",
      "Epoch: #630, MSE: 0.084618\n",
      "Accuracy: 91.33%\n",
      "Epoch: #640, MSE: 0.083628\n",
      "Accuracy: 91.33%\n",
      "Epoch: #650, MSE: 0.082709\n",
      "Accuracy: 91.83%\n",
      "Epoch: #660, MSE: 0.081906\n",
      "Accuracy: 92.00%\n",
      "Epoch: #670, MSE: 0.081231\n",
      "Accuracy: 92.67%\n",
      "Epoch: #680, MSE: 0.080677\n",
      "Accuracy: 92.67%\n",
      "Epoch: #690, MSE: 0.080222\n",
      "Accuracy: 92.83%\n",
      "Epoch: #700, MSE: 0.079842\n",
      "Accuracy: 92.83%\n",
      "Epoch: #710, MSE: 0.079516\n",
      "Accuracy: 92.83%\n",
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      "Accuracy: 92.83%\n",
      "Epoch: #730, MSE: 0.078950\n",
      "Accuracy: 92.83%\n",
      "Epoch: #740, MSE: 0.078679\n",
      "Accuracy: 93.17%\n",
      "Epoch: #750, MSE: 0.078399\n",
      "Accuracy: 93.00%\n",
      "Epoch: #760, MSE: 0.078094\n",
      "Accuracy: 93.33%\n",
      "Epoch: #770, MSE: 0.077748\n",
      "Accuracy: 93.33%\n",
      "Epoch: #780, MSE: 0.077335\n",
      "Accuracy: 93.33%\n",
      "Epoch: #790, MSE: 0.076824\n",
      "Accuracy: 93.33%\n",
      "Epoch: #800, MSE: 0.076163\n",
      "Accuracy: 93.50%\n",
      "Epoch: #810, MSE: 0.075277\n",
      "Accuracy: 93.50%\n",
      "Epoch: #820, MSE: 0.074048\n",
      "Accuracy: 93.50%\n",
      "Epoch: #830, MSE: 0.072305\n",
      "Accuracy: 93.33%\n",
      "Epoch: #840, MSE: 0.069822\n",
      "Accuracy: 93.67%\n",
      "Epoch: #850, MSE: 0.066408\n",
      "Accuracy: 94.17%\n",
      "Epoch: #860, MSE: 0.062164\n",
      "Accuracy: 95.00%\n",
      "Epoch: #870, MSE: 0.057651\n",
      "Accuracy: 95.33%\n",
      "Epoch: #880, MSE: 0.053453\n",
      "Accuracy: 96.00%\n",
      "Epoch: #890, MSE: 0.049768\n",
      "Accuracy: 96.00%\n",
      "Epoch: #900, MSE: 0.046555\n",
      "Accuracy: 96.17%\n",
      "Epoch: #910, MSE: 0.043716\n",
      "Accuracy: 96.33%\n",
      "Epoch: #920, MSE: 0.041209\n",
      "Accuracy: 96.50%\n",
      "Epoch: #930, MSE: 0.039029\n",
      "Accuracy: 96.67%\n",
      "Epoch: #940, MSE: 0.037164\n",
      "Accuracy: 96.50%\n",
      "Epoch: #950, MSE: 0.035585\n",
      "Accuracy: 96.67%\n",
      "Epoch: #960, MSE: 0.034253\n",
      "Accuracy: 96.67%\n",
      "Epoch: #970, MSE: 0.033132\n",
      "Accuracy: 96.67%\n",
      "Epoch: #980, MSE: 0.032185\n",
      "Accuracy: 96.67%\n",
      "Epoch: #990, MSE: 0.031380\n",
      "Accuracy: 96.67%\n",
      "Epoch: #1000, MSE: 0.030691\n",
      "Accuracy: 96.83%\n"
     ]
    }
   ],
   "source": [
    "nn = NeuralNetwork()  # 实例化网络类\n",
    "nn.add_layer(Layer(2, 25, 'sigmoid'))  # 隐藏层 1, 2=>25\n",
    "nn.add_layer(Layer(25, 50, 'sigmoid'))  # 隐藏层 2, 25=>50\n",
    "nn.add_layer(Layer(50, 25, 'sigmoid'))  # 隐藏层 3, 50=>25\n",
    "nn.add_layer(Layer(25, 2, 'sigmoid'))  # 输出层, 25=>2\n",
    "mses, accuracys = nn.train(X_train, X_test, y_train, y_test, 0.01, 1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = [i for i in range(0, 101, 10)]\n",
    "\n",
    "# 绘制MES曲线\n",
    "plt.title(\"MES Loss\")\n",
    "plt.plot(x, mses[:11], color='blue')\n",
    "plt.xlabel('Epoch')\n",
    "plt.ylabel('MSE')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制Accuracy曲线\n",
    "plt.title(\"Accuracy\")\n",
    "plt.plot(x, accuracys[:11], color='blue')\n",
    "plt.xlabel('Epoch')\n",
    "plt.ylabel('Accuracy')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.2"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": true,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {
    "height": "calc(100% - 180px)",
    "left": "10px",
    "top": "150px",
    "width": "273.188px"
   },
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
